On the Beurling dimension of exponential frames

Details On the Beurling dimension of exponential frames On the Beurling dimension of exponential frames

2010-05-26

arxiv.org/abs/1005.4751v2

Mathematics

Functional Analysis

Scientific paper

We study Fourier frames of exponentials on fractal measures associated with a
class of affine iterated function systems. We prove that, under a mild
technical condition, the Beurling dimension of a Fourier frame coincides with
the Hausdorff dimension of the fractal.

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